The Z line shape is measured at LEP with an accuracy at the per mill l
evel. Usually it is described in the Standard Model of electroweak int
eractions with account of quantum corrections. Alternatively, one may
attempt different model-independent approaches in order to extract qua
ntities like mass and width of the Z boson. If a fit deviates from tha
t in the standard approach, this may give hints for New Physics contri
butions. I describe two model-independent approaches and compare their
applications to LEP data with the Standard Model approach.